Highest Common Factor of 8800, 5208 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 8800, 5208 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 8800, 5208 is 8 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 8800, 5208 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 8800, 5208 is 8.
HCF(8800, 5208) = 8
HCF of 8800, 5208 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8800, 5208 is 8.
Highest Common Factor of 8800,5208 is 8
Step 1: Since 8800 > 5208, we apply the division lemma to 8800 and 5208, to get
8800 = 5208 x 1 + 3592
Step 2: Since the reminder 5208 ≠ 0, we apply division lemma to 3592 and 5208, to get
5208 = 3592 x 1 + 1616
Step 3: We consider the new divisor 3592 and the new remainder 1616, and apply the division lemma to get
3592 = 1616 x 2 + 360
We consider the new divisor 1616 and the new remainder 360,and apply the division lemma to get
1616 = 360 x 4 + 176
We consider the new divisor 360 and the new remainder 176,and apply the division lemma to get
360 = 176 x 2 + 8
We consider the new divisor 176 and the new remainder 8,and apply the division lemma to get
176 = 8 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 8800 and 5208 is 8
Notice that 8 = HCF(176,8) = HCF(360,176) = HCF(1616,360) = HCF(3592,1616) = HCF(5208,3592) = HCF(8800,5208) .
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Frequently Asked Questions on HCF of 8800, 5208 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 8800, 5208?
Answer: HCF of 8800, 5208 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8800, 5208 using Euclid's Algorithm?
Answer: For arbitrary numbers 8800, 5208 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.